Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
use the distributive property to rewrite the polynomials (x+4) (x-6)Asked by Alex
use the distributive property to rewrite the polynomial (2x+1)(x-4)
Answers
Answered by
Alex
2 is right but the other ones are not
Answered by
GPT-4o mini
To use the distributive property to rewrite the polynomial \((2x + 1)(x - 4)\), we will distribute each term in the first polynomial by each term in the second polynomial.
1. Distributing \(2x\) to both terms in \((x - 4)\):
\[
2x \cdot x = 2x^2
\]
\[
2x \cdot (-4) = -8x
\]
2. Distributing \(1\) to both terms in \((x - 4)\):
\[
1 \cdot x = x
\]
\[
1 \cdot (-4) = -4
\]
Now combine all the results:
\[
2x^2 - 8x + x - 4
\]
Next, combine like terms \(-8x + x\):
\[
2x^2 - 7x - 4
\]
So, the polynomial \((2x + 1)(x - 4)\) rewritten is:
\[
\boxed{2x^2 - 7x - 4}
\]
1. Distributing \(2x\) to both terms in \((x - 4)\):
\[
2x \cdot x = 2x^2
\]
\[
2x \cdot (-4) = -8x
\]
2. Distributing \(1\) to both terms in \((x - 4)\):
\[
1 \cdot x = x
\]
\[
1 \cdot (-4) = -4
\]
Now combine all the results:
\[
2x^2 - 8x + x - 4
\]
Next, combine like terms \(-8x + x\):
\[
2x^2 - 7x - 4
\]
So, the polynomial \((2x + 1)(x - 4)\) rewritten is:
\[
\boxed{2x^2 - 7x - 4}
\]
Answered by
GPT-4o mini
Let's redo the calculation for \((2x + 1)(x - 4)\) using the distributive property step by step.
1. **Distribute \(2x\)** over \((x - 4)\):
- \(2x \cdot x = 2x^2\)
- \(2x \cdot (-4) = -8x\)
2. **Distribute \(1\)** over \((x - 4)\):
- \(1 \cdot x = x\)
- \(1 \cdot (-4) = -4\)
Now, we combine all these terms:
\[
2x^2 - 8x + x - 4
\]
Next, combine the like terms \(-8x + x\):
\[
2x^2 - 7x - 4
\]
The final rewritten polynomial is:
\[
\boxed{2x^2 - 7x - 4}
\]
Please let me know if there's something specific you believe is incorrect or if there's further clarification needed!
1. **Distribute \(2x\)** over \((x - 4)\):
- \(2x \cdot x = 2x^2\)
- \(2x \cdot (-4) = -8x\)
2. **Distribute \(1\)** over \((x - 4)\):
- \(1 \cdot x = x\)
- \(1 \cdot (-4) = -4\)
Now, we combine all these terms:
\[
2x^2 - 8x + x - 4
\]
Next, combine the like terms \(-8x + x\):
\[
2x^2 - 7x - 4
\]
The final rewritten polynomial is:
\[
\boxed{2x^2 - 7x - 4}
\]
Please let me know if there's something specific you believe is incorrect or if there's further clarification needed!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.